3-(x-5)=10(x+6)

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Solution for 3-(x-5)=10(x+6) equation:


Simplifying
3 + -1(x + -5) = 10(x + 6)

Reorder the terms:
3 + -1(-5 + x) = 10(x + 6)
3 + (-5 * -1 + x * -1) = 10(x + 6)
3 + (5 + -1x) = 10(x + 6)

Combine like terms: 3 + 5 = 8
8 + -1x = 10(x + 6)

Reorder the terms:
8 + -1x = 10(6 + x)
8 + -1x = (6 * 10 + x * 10)
8 + -1x = (60 + 10x)

Solving
8 + -1x = 60 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
8 + -1x + -10x = 60 + 10x + -10x

Combine like terms: -1x + -10x = -11x
8 + -11x = 60 + 10x + -10x

Combine like terms: 10x + -10x = 0
8 + -11x = 60 + 0
8 + -11x = 60

Add '-8' to each side of the equation.
8 + -8 + -11x = 60 + -8

Combine like terms: 8 + -8 = 0
0 + -11x = 60 + -8
-11x = 60 + -8

Combine like terms: 60 + -8 = 52
-11x = 52

Divide each side by '-11'.
x = -4.727272727

Simplifying
x = -4.727272727

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